完全域上矩阵多项式方程的可解性

Thie Solvability of Matrix Polynomial Equation over a Complete Field

本文利用一般域上的λ-矩阵理论,研究了矩阵多项式方程的可解性,证明了完全域上矩阵多项式方程有解的充要条件。这些条件同时提供了解此类矩阵方程的方法。

In this paper, we study the solvability of matrix polynomial equation by using the theory of A-matix over a general field. We also prove the necessary and sufficient condition for existence of a solution to the matrix equation over a Complete Field. Some methods for solving the matrix equation are presented.